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Finding the Fourth Proportional to 499,712.64, 689,610.24 and 273,361.92

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Solution

The fourth proportional to 499,712.64, 689,610.24 and 273,361.92 is: 377,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,712.64 : 689,610.24 = 273,361.92 : x
  2. Step 2: Convert to fraction form
    499,712.64/689,610.24 = 273,361.92/x
  3. Step 3: Cross multiply
    499,712.64x = 689,610.24 × 273,361.92
  4. Step 4: Simplify right side
    499,712.64x = 188,513,179,258.06
  5. Step 5: Solve for x
    x = 188,513,179,258.06/499,712.64
  6. Step 6: Final answer
    x = 377,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.